Manchester United have fitness concerns over Anderson and Owen Hargreaves, the midfield players, before the game against Liverpool at Anfield on Sunday.
"We hope they'll be all right," Carlos Queiroz, the assistant manager, said.
Manchester United overcame Derby's resilience to move within a point of Premier League leaders Arsenal.
Derby's lack of a serious attacking threat was always going to limit their hopes of upsetting the champions. And United's midfield, which included Michael Carrick as a late replacement after Owen Hargreaves was injured in the warm-up, gradually took a grip on the game.
Sir Alex Ferguson is billing Anderson as the world's best young player after watching the Brazilian make Paul Scholes Manchester United's forgotten man.
Anderson, 19, has been in breathtaking form since being given the daunting task of filling in for knee injury victim Scholes at the end of October.
Manchester United defender Gerard Pique is the man that keeps the dressing room together, reveals Danny Simpson.
Cristiano Ronaldo scored twice to help Manchester United see off Fulham and move second, closing the gap on Premier League leaders Arsenal to three points.
Kuszczak and flew in at his near post. They could have added a second almost instantly, but Liedson's finish was ruled out for offside - a marginal decision at best.
As United struggled to maintain any attacking rhythm, Sporting were shooting on sight and Anderson Polga shocked Kuszczak with a snap-shot that the keeper held at the second attempt.
Gary Megson claimed his first win in charge of Bolton with the unlikely scalp of Manchester United, thanks to Nicolas Anelka's early strike.
United experienced their only previous league defeat this season back in August - against Manchester City - whereas that same month marked Bolton's only win in the Premier League - 3-0 against Reading.
Boss Sir Alex Ferguson saw Manchester United beat Blackburn 2-0 to head the Premier League and claimed the squad is his strongest in 21 years at the club.
United may have looked different to the side who turned out in midweek but the result was the same as Sir Alex's men comfortably swept aside Blackburn Rovers on Sunday afternoon.
Manchester United moved three points clear at the top of the Premier League thanks to Cristiano Ronaldo's double.
Prior to Saturday Blackburn had recorded seven wins in eight games and initially Rovers more than matched United, with strikers Roque Santa Cruz and Benni McCarthy looking lively.